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Finding the Third Proportional to 735,940.69 and 1,561,047.19

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Solution

The third proportional to 735,940.69 and 1,561,047.19 is: 3,311,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,940.69 : 1,561,047.19 = 1,561,047.19 : x
  2. Step 2: Convert to fraction form
    735,940.69/1,561,047.19 = 1,561,047.19/x
  3. Step 3: Cross multiply
    735,940.69x = 1,561,047.19 × 1,561,047.19
  4. Step 4: Simplify right side
    735,940.69x = 2,436,868,321,601.66
  5. Step 5: Solve for x
    x = 2,436,868,321,601.66/735,940.69
  6. Step 6: Final answer
    x = 3,311,229.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.